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Finding the Fourth Proportional to 1,549.51, 2,311.01 and 1,494.84

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Solution

The fourth proportional to 1,549.51, 2,311.01 and 1,494.84 is: 2,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.51 : 2,311.01 = 1,494.84 : x
  2. Step 2: Convert to fraction form
    1,549.51/2,311.01 = 1,494.84/x
  3. Step 3: Cross multiply
    1,549.51x = 2,311.01 × 1,494.84
  4. Step 4: Simplify right side
    1,549.51x = 3,454,585.26
  5. Step 5: Solve for x
    x = 3,454,585.26/1,549.51
  6. Step 6: Final answer
    x = 2,229.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.